Identifying Functions

Front

What is a function?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a graph represents a function. If any vertical line intersects the graph at more than one point, then the graph does not represent a function.

Front

What does it mean for a set of ordered pairs to represent y as a function of x?

Back

A set of ordered pairs represents y as a function of x if no two different pairs have the same x-value.

Front

Give an example of a function using ordered pairs.

Back

Example: {(1,2), (2,3), (3,4)} - Each x-value is unique.

Front

Give an example of a relation that is NOT a function using ordered pairs.

Back

Example: {(1,2), (1,3), (2,4)} - The x-value '1' is associated with two different y-values.

Front

What is a mapping diagram?

Back

A mapping diagram visually represents a function by showing how each input is paired with an output.

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for the function.

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

How can you tell if a graph represents a function?

Back

You can tell if a graph represents a function by using the vertical line test.

Front

What is a linear function?

Back

A linear function is a function that can be graphically represented as a straight line.